10353876516 has 45 divisors (see below), whose sum is σ = 27071867361. Its totient is φ = 3450681648.

The previous prime is 10353876509. The next prime is 10353876521. The reversal of 10353876516 is 61567835301.

The square root of 10353876516 is 101754.

It is a perfect power (a square), and thus also a powerful number.

10353876516 is a `hidden beast` number, since 1 + 0 + 3 + 53 + 87 + 6 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8116208100 + 2237668416 = 90090^2 + 47304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1828746 + ... + 1834398.

Almost surely, 2^10353876516 is an apocalyptic number.

10353876516 is the 101754-th square number.

It is an amenable number.

10353876516 is an abundant number, since it is smaller than the sum of its proper divisors (16717990845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10353876516 is an frugal number, since it uses more digits than its factorization.

10353876516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11322 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10353876516 in words is "ten billion, three hundred fifty-three million, eight hundred seventy-six thousand, five hundred sixteen".